Posting a sweet snap of the three-week old in a vest decorated in honour of the occasion, the musician paid tribute to his model wife:
‘To my wonderful wife, @chrissyteigen. Luna and I are so lucky to have you in our lives,’ he wrote. If our daughter can be even half as awesome as you, I will be so happy and proud. Happy 1st Mother’s Day!’
The 37-year-old also shared a snap of his wife and daughter snuggled up together while wrapped in a blanket.
The cosy domestic scene came after the couple enjoyed a date night together, heading out for dinner in Los Angeles on Saturday.